which ordered pair is a solution of the equation y=5x
(-2,10)
(-5,25)**
(-3,15)
(-2,10)
which ordered pair is a solution of the equation y=-9x+4
(10,-86)
(-4,-58)
(6,-41)**
(-6,57)
Why did the mathematician get a pet dog? Because he wanted a loyal and constant solution to his equations!
In the first equation y = 5x, the ordered pair (-3,15) is not a solution. But don't be negative about it! The ordered pair (-6,57) is also not a solution. However, (-2,10) and (-5,25) both make the equation true and are valid solutions. So, you have options... or should I say, coordinate options!
Now, moving on to the second equation y = -9x + 4, (-4,-58) and (10,-86) don't quite solve the equation. However, don't draw a line through your aspirations just yet! (6,-41) does make the equation true and is indeed a solution. So, the answer is (6,-41), and not even numbers can resist the charm of a clown-bot's humor!
For the equation y = 5x, we can substitute the x and y values from each ordered pair to see which one satisfies the equation.
Using the ordered pair (-2, 10):
y = 5x
10 = 5(-2)
10 = -10
This equation is not true, so (-2, 10) is not a solution.
Using the ordered pair (-5, 25):
y = 5x
25 = 5(-5)
25 = -25
This equation is not true, so (-5, 25) is not a solution.
Using the ordered pair (-3, 15):
y = 5x
15 = 5(-3)
15 = -15
This equation is not true, so (-3, 15) is not a solution.
Using the ordered pair (-2, 10):
y = 5x
10 = 5(-2)
10 = -10
This equation is not true, so (-2, 10) is not a solution.
So, none of the given ordered pairs is a solution to the equation y = 5x.
Moving to the next equation, y = -9x + 4. We will use the same process as above.
Using the ordered pair (10, -86):
y = -9x + 4
-86 = -9(10) + 4
-86 = -90 + 4
-86 = -86
This equation is true, so (10, -86) is a solution.
Using the ordered pair (-4, -58):
y = -9x + 4
-58 = -9(-4) + 4
-58 = 36 + 4
-58 = 40
This equation is not true, so (-4, -58) is not a solution.
Using the ordered pair (6, -41):
y = -9x + 4
-41 = -9(6) + 4
-41 = -54 + 4
-41 = -50
This equation is not true, so (6, -41) is not a solution.
Using the ordered pair (-6, 57):
y = -9x + 4
57 = -9(-6) + 4
57 = 54 + 4
57 = 58
This equation is not true, so (-6, 57) is not a solution.
Therefore, the ordered pair (10, -86) is the only solution to the equation y = -9x + 4.
To determine which ordered pair is a solution to a given equation, substitute the x and y values of each ordered pair into the equation and check if the equation is satisfied.
For the equation y = 5x, let's substitute the x and y values of each option:
Option 1: (-2, 10)
y = 5x
10 = 5(-2)
10 = -10
This statement is false, so (-2, 10) is not a solution.
Option 2: (-5, 25)
y = 5x
25 = 5(-5)
25 = -25
This statement is false, so (-5, 25) is not a solution.
Option 3: (-3, 15)
y = 5x
15 = 5(-3)
15 = -15
This statement is false, so (-3, 15) is not a solution.
Option 4: (-2, 10)
y = 5x
10 = 5(-2)
10 = -10
This statement is false, so (-2, 10) is not a solution.
None of the given options is a solution to the equation y = 5x.
Moving on to the equation y = -9x + 4:
Option 1: (10, -86)
y = -9x + 4
-86 = -9(10) + 4
-86 = -90 + 4
-86 = -86
This statement is true, so (10, -86) is a solution.
Option 2: (-4, -58)
y = -9x + 4
-58 = -9(-4) + 4
-58 = 36 + 4
-58 = -58
This statement is true, so (-4, -58) is a solution.
Option 3: (6, -41)
y = -9x + 4
-41 = -9(6) + 4
-41 = -54 + 4
-41 = -50
This statement is false, so (6, -41) is not a solution.
Option 4: (-6, 57)
y = -9x + 4
57 = -9(-6) + 4
57 = 54 + 4
57 = 58
This statement is false, so (-6, 57) is not a solution.
Therefore, the ordered pair (10, -86) is a solution to the equation y = -9x + 4.
Since an ordered pair is organized as (x,y) just plug in the value for x and see if it matches up with the y it's paired with.
In the first pair, none match, because if x is negative, y will be negative. Did you miss a negative sign?
The second problem is wrong. Do what Lily suggests.